Mixed finite element method for a second order Dirichlet boundary control problem

2022/07/20 by Divay Garg, Garg, Divay, Kamana Porwal +1 · 1 citation
Computer Science · Engineering · #65N15 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2207.10139

openalex publication_date 2022/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main aim of this article is to analyze mixed finite element method for the second order Dirichlet boundary control problem. Therein, we develop both a priori and a posteriori error analysis using the energy space based approach. We obtain optimal order a priori error estimates in the energy norm and L²-norm with the help of auxiliary problems. The reliability and the efficiency of proposed a posteriori error estimator is discussed using the Helmholtz decomposition. Numerical experiments are presented to confirm the theoretical findings.

Cited by

• Analysis of A Mixed Finite Element Method for Poisson's Equation with Rough Boundary Data

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